Solve each system of equations by substitution. Clearly identify your solution.

Solve Each System Of Equations By Substitution. Clearly Identify Your Solution.

Answers

Answer 1

Answer:

(-3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                         x + x + 8 = 2Combine like terms:                                                                                         2x + 8 = 2[Subtraction Property of Equality] Subtract 8 on both sides:                        2x = -6[Division Property of Equality] Divide 2 on both sides:                                  x = -3

Step 3: Solve for y

Substitute in x [1st Equation]:                                                                           y = -3 + 8Add:                                                                                                                   y = 5
Answer 2

Answer:

x = - 3

y = 5

Step-by-step explanation:

y = x + 8 ------(I)

x + y  = 2 -------------(II)

Substitute y = x + 8 in equation (II)

x + x + 8 = 2

Combine like terms

2x + 8 = 2

Subtract r from both sides

2x = 2- 8

2x = -6

Divide both sides by 2

x = -6/2

x = -3

Plug in x = -3 in equation (I)

y = -3 + 8

y = 5


Related Questions

Someone please help?

Answers

A

Step-by-step explanation:

because it's the only possible one

Answer:

A.) 10

Step-by-step explanation:

So the relationship here seems to be going by two. Every time the x-value decreases from -2 to +7, the y-value is decreasing by 2. Since you're looking for when x=0, the only number that could possibly do that is when y=10. Before x=1, the y-value can increase by two so it would go from 8 to 10 since we know the relationship for the y-values is 2. Therefore your answer should be A.) 10

Hope this helps!

I need help with my math!!!!!!!

Answers

Answer:

B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C

Graph the linear function described by the equation ​

Answers

Answer:

a on edge

Step-by-step explanation:

A post office charges 50k for a telegram of 15 words or less it charges an extra 3k for every word above 15 words find the cost of 30 words

Answers

Answer:

95k

Step-by-step explanation:

Given :

15 words or less = 50k

Every word above 15 = additional 3k

The cost of 30 words :

First 15 words = 50 k

Number of additional words = (30 - 15) = 15 words

Cost of every additional word = 3 k

Cost of 15 additional word = 15 * 3 = 45k

Total cost of 30 words :

50k + 45k = 95k

solve the following simultaneous linear equations by the elimination method.
2p - 3q = 13
p - 3q = 2​

Answers

Answer:

p = 11           q = 3

Step-by-step explanation:

      2p - 3q = 13

-      p - 3q = 2

p = 11

p - 3q = 2​

(11) - 3q = 2

-3q = -9

q = 3

Answer:

p=11 q=3

Step-by-step explanation:

subtract second from first

2p-3q=13

-p+3q=-2

p=11

plug in

11-3q=2

-3q=-9

q=3

the line segment AB is rotated through 90° clockwise about the point C. the coordinates of A', the image of A, are​

Answers

Answer:

B

Step-by-step explanation:

We dont know rules about rotating a point. We only know rules about rotating about the orgin.

We can translate this line segment so point c is on the orgin because

A translation is a rigid transformationWe also know rotation rules about the orgin.

Point C is at (1,3) so let move this all points 1 to the left and 3 down. Why All Points?

A translation is parallel from it original image to its second or new image so this means Point B and Point A will both move as well. Let just focus on Point A. The new coordinates are:

Point A prime is (1,0).

Let apply the 90 degree clockwise rule. Point C doesnt move since it is at the orgin and it at the center of rotation.

(x,y) goes to (y,-x).

So Point A prime is now at

(0,-1).

Now let translate the figure back to Point C (1,3). by going 1 to the right and 3 up so our new point of Point A prime is at

(1,2).

PLEASE HURRY!! NEED IT ASAP!! WILL MAKE BRAINLIEST
Question 1 of 10
Which choice is equivalent to the expression below when y > or equal to 0?

Answers

Answer:

I think B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]

What is the value of -97-7 when /= 2?
-25
-18
11
45

Answers

Step-by-step explanation:

there must be something wrong or missing in your problem description.

what I can read here :

-97 - 7 when divided by 2

-97 - 7 = -104

this divided by 2 is -52.

but there is no such answer.

so, the provided answers and the problem description do not fit to each other.

You have 3 pounds of egg whites. You need 8 oz to make one serving of consommé.How many servings can you make?

Answers

I believe it is 24 servings hope it’s right

The number of servings you can make is 6

How to determine the number of servings?

The given parameters are:

Available = 3 poundsContent per serving = 8 oz

Next, we convert oz to pounds

Content per serving = 8 * 0.0625 pound

This gives

Content per serving = 0.5 pound

The number of serving is then calculated as:

Number = Available/Content per serving

This gives

Number = 3/0.5

Evaluate

Number = 6

Hence, the number of servings is 6

Read more about proportions at:

https://brainly.com/question/1781657

#SPJ9

The rope required to measure the diametwr of acicular pond is 90 m shorter than measurin its circumference. find the diameter of the pond.​

Answers

Answer:↪️Diameter is 42.056 meter.

❀ Don't forget to thanks❀ Mark as brainlist.
42.05


Explanation: and answer ^^

what is the x-intercept of the line shown below enter your answer as a coordinate pair

Answers

Answer: (-2, 0)

Step-by-step explanation: The x-intercept is the point where a line crosses or intersects the x-axis. In this case, the point is intersecting the x-axis 2 units to the left of the origin or at the point (-2, 0).

Solve for x. Round your answer to the nearest tenth if necessary

Answers

Answer:

x = 11.7

Step-by-step explanation:

[tex]\frac{50}{39}[/tex] = [tex]\frac{15}{x}[/tex]

50x = 585

x = 11.7

The radius of a circle is 6 cm. What is its diameter?

Answers

Answer:

Step-by-step explanation:

d=2r=2, 6 =12

diameter=12

try it, let's see can u do or not

Answers

Answer:

Step-by-step explanation:

Answer:

EC=2, AD=2.4

Step-by-step explanation:

Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.

The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.

AC is 3 times as long as AEBC is 3 times as long as DE

Using this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.

AE+EC=AC1+EC=3EC=2

The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4

Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.

Answers

Answer: 31.25%

Two ways to solve this problem:

#1: Use the formula: [tex]P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}[/tex]

#2 Use a graphing calculator and use the function binompdf(n, p, x)

x = 3n = 6p = 0.5

#1: Formula:

[tex]P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125[/tex]

#2: Faster method

binompdf(6, 0.5, 3) = 0.3125

Answer: 31.3 is the real answer.

Step-by-step explanation:

The death rate per 100,000 for lung cancer is 7 among non-smokers and 71 among smokers. The death rate per 100,000 for coronary thrombosis is 422 among non-smokers and 599 among smokers. The prevalence of smoking in the population is 55%. What is the relative risk of dying of coronary thrombosis for smokers versus nonsmokers

Answers

Answer:

1.4194

Step-by-step explanation:

death rate per 100000 for cancer

for non smokers, death rate = 7

for smokers death rate = 71

death rate per 100000 coronary thrombosis

for non smokers = 422

for smokers = 599

relative risk of dying from cancer

= number of smokers / number of non smokers

= 71/7

= 10.14

relative risk of dying from coronary thrombosis

= number of smokers/number of non smokers

= 599/422

= 1.419

the relative risk of dying of coronary thrombosis is 1.4194

= 10.14

Solve the inequality. w/-2<8

Answers

Answer:

w > -16

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete this number sentence so that it illustrates the identity property of multiplication? ____ x ____ = 57

Answers

Answer:

57 x 1 =57

Step-by-step explanation:

Please remember identity property of multiplication says

An integer * 1 = the same integer

Using this property

57 x 1 = 57

Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes how many miles does he walks in 1 minutes

Answers

Answer:

1/12 mile

Step-by-step explanation:

We can use a ratio to solve

7/12 miles       x miles

---------------- = ---------------

7 minutes       1 minute

Using cross products

7 /12 * 1 = 7x

Divide each side by 7

7/12 * 1/7 = x

1/2 = x

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes ⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀how many miles does he walks in 1 minutes⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

Randy walks 7/12 miles in 7 minutes

Sooo

He walks in one minutes is

7/12 miles in 7 minutes

one minutes is [tex]\sf{\dfrac{\dfrac{7}{12}}{7} }[/tex]

one minute =[tex]\sf{\dfrac{7}{12}×\dfrac{1}{7} }[/tex]

one minute=[tex]\sf{\dfrac{1}{12} }[/tex]

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

Hence,

he walks in 1 minutes is 1/12 miles.

5x+1=2x-5
I need help

Answers

Answer:

x =-2

Step-by-step explanation:

5x+1=2x-5

Subtract 2x from each side

5x-2x+1=2x-2x-5

3x+1 = -5

Subtract 1 from each side

3x+1-1 = -5-1

3x=-6

Divide by 3

3x/3 = -6/3

x = -2

Solve for x. Round to the nearest tenth, if necessary.

Answers

X=3.8

Sin41/2.5 = sin90/x
Sin90 x 2.5 = sin41 x X
Sin90 x 2.5/ sin41
X=3.8

Answer:

3.8106327168

Step-by-step explanation:

x=2.5/sin(41) = 3.81063271676

Please help me ASAP!!!!!

Answers

Answer:

The surface area is 80.9.

Step-by-step explanation:

0.89 is the surface area

Someone tell me where everyone is going right please !!

Answers

Answer:

hello dude

equation;

7.8x - 100 > 79.86 + 5.8x

and answers are at the photo

HAVE A NİCE DAY

Step-by-step explanation:

greeetings from Turkey ツ

Answer:

1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x

2nd drop box: (4) x > 105.8

3rd drop box: (4) 106

Step-by-step explanation:

1st drop box:

Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.

2nd drop box:

Use basic algebra to solve for x:

7.5x - 100 > 79.86 + 5.8x

(subtract 5.8x from both sides)

1.7x - 100 > 79.86

(add 100 to both sides)

1.7x > 179.86

(divide both sides by 1.7)

x > 105.8

3rd drop box:

We already know the solution to the inequality is x > 105.8

Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".

That means it doesn't include 105.8

And it can't be 105 because 105 is NOT greater than 105.8

So the answer is 106

Hope it helps (●'◡'●)

I need help on my math!!!!!!!

Answers

Answer:

67

Step-by-step explanation:

GOOD LUCK!!

which of the following is most likely the next step in the series?

Answers

Answer:

A

Step-by-step explanation:

i think its a because they keep adding a side (or a line)

Which of these is the equation of the new function? ​

Answers

Answer:

B: g(x) = -4(x + 3)^2

Step-by-step explanation:

When we shift to the left by a units

we have the new equation become

( x + 3)^2

Stretching by a factor of 4, we have it that;

4(x + 3)^2

reflecting over the x-axis means the y-axis value becomes negative

So we have

g(x) = -4(x + 3)^2

Solve the qn in attachment .​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct .

Answer:

[tex] \frac{ \frac{3}{x - 1} - 4 }{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2 } \\ \frac{7 - 4x}{2(x - 2)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]

In London today, four times the high temperature was more than twice the high temperature plus
sixty-six. In interval form, what are the possible temperatures

Answers

Answer:

Let's define the high temperature as T.

We know that:

"four times T, was more than 2*T plus 66°C"

(i assume that the temperature is in °C)

We can write this inequality as:

4*T > 2*T + 66°C

Now we just need to solve this for T.

subtracting 2*T in both sides, we get:

4*T - 2*T > 2*T + 66°C - 2*T

2*T > 66°C

Now we can divide both sides by 2:

2*T/2 > 66°C/2

T > 33°C

So T was larger than 33°C

Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.

Then the range of possible temperatures is:

(33°C, ...)

Where we do not have an upper limit, so we could write this as:

(33°C, ∞°C)

(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

2(5x-3)=24
find what x is?

Answers

Answer:

x = 3

Step-by-step explanation:

2(5x - 3) = 24

Divide both sides by 2.

5x - 3 = 12

Add 3 to both sides.

5x = 15

Divide both sides by 5.

x = 3

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